The performance of Capon beamformer degrades sharply in the presence of array steering vector errors.To solve this problem

a robust beamforming algorithm

which combines generalized sidelobe canceller(GSC) and robust least-square

is proposed.The Capon beamformer is converted to a least-square problem based on the principle of generalized sidelobe canceller

and then converted to a second-order cone program (SOCP) problem under the constraint on the norm of the error matrix.The well-established interior point method is adopted in order to obtain the optimal solution.Deduction proves that the proposed algorithm belongs to the diagonal loading sort.Simulation results show the efficiency of the proposed algorithm in the case of steering vector mismatch and snapshot deficiency.